Superglue.
I had pictures of the rails in progress but due to a technical problem with my phone I lost the pics.
I used the type of PVC that is used as trim as an alternate to wood. I actually had some lying around because I was doing a project for a closet that required 3/4" x 1 1/2" wood trim. I was in a hurry so i selected the PVC since it required no priming and sanding. It is white and cuts easier then wood. I measured the width of the top of the existing rail and it's 1 cm. I ran the PVC trim through a table saw (I get better results with a table versus scroll or jigsaw) to get the 1cm width. The height is about 3/4". I trimmed off the corners to give it a finished look. I used a name brand black spray paint that is okay for plastic. After dry fitting I secured it with superglue.
Of note: I should have put on a third coat of paint before using. Or a final coat of varnish, lacquer, etc. After moving the light fixture once, it lifted off some of the paint. Not much but it was noticeable.
Here are some close up pictures: